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Simplifying 9y + 3(4x + -1y) + 6x + 7 = 43 9y + (4x * 3 + -1y * 3) + 6x + 7 = 43 9y + (12x + -3y) + 6x + 7 = 43 Reorder the terms: 7 + 12x + 6x + 9y + -3y = 43 Combine like terms: 12x + 6x = 18x 7 + 18x + 9y + -3y = 43 Combine like terms: 9y + -3y = 6y 7 + 18x + 6y = 43 Solving 7 + 18x + 6y = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 18x + -7 + 6y = 43 + -7 Reorder the terms: 7 + -7 + 18x + 6y = 43 + -7 Combine like terms: 7 + -7 = 0 0 + 18x + 6y = 43 + -7 18x + 6y = 43 + -7 Combine like terms: 43 + -7 = 36 18x + 6y = 36 Add '-6y' to each side of the equation. 18x + 6y + -6y = 36 + -6y Combine like terms: 6y + -6y = 0 18x + 0 = 36 + -6y 18x = 36 + -6y Divide each side by '18'. x = 2 + -0.3333333333y Simplifying x = 2 + -0.3333333333y
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